What is the volume of the cone pictured? (Use 3.14 for π.)



785 ft 3
104.67 ft 3
261.67 ft 3
314 ft 3

Answer:

377 inches

Step-by-step explanation

C=pie x d

d= 2 x r

r= 60

d=120

pie x 120 = 376.99...

or 377

Answer:

The circumference of circle is 376.8 inches

Step-by-step explanation:

Formula:-

Circumference of circle = 2πr

Where r is the radius of circle

To find the circumference of circle

Here r = 60 inches

Circumference = 2πr

 = 2 * 3.14 * 60

 = 376.8 inches

Therefore the correct answer is  circumference of circle with radius 60 inches  is 376.8 inches

Answer:

the function is EVEN because f(x)= f(-x)

Step-by-step explanation:

Key to find if a function f(x) is even or odd is to replace the x with -x

if the results comes out to be f(x) then it is even function

if the results comes out to be -f(x) then it is odd function

where as graphically even f(x) will be symmetric around the y-axis and odd f(x) will be symmetric around the origin.

In given case f(x)=7

if we replace x with -x in above equation then results is 7

f(-x)= 7

hence f(x)= f(-x) = 7

!

540 = a/11

5940 = x

Answer: x = 5940

Answer: [tex]a=5,940[/tex]

Step-by-step explanation:

Given the equation [tex]540=\frac{a}{11}[/tex], you need to find the value of "a", then, you need to solve for "a".

You need to apply the Multiplication property of equality, which establishes that:

[tex]If\ a=b,\ then\ a*c=b*c[/tex]

Therefore, based on this property, you can multiply both sides of the equation by 11.

Then, you get the following solution:

[tex](11)(540)=(\frac{a}{11})(11)\\\\a=5,940[/tex]

Answer:

52 sq un

Step-by-step explanation:

Answer:

[tex]\boxed{2211}[/tex]

Data:

Population in 2014 = 7895

            % increase = 28 %

Calculations:

              28 %  =  (Increase/Original number) × 100 %

                  28  =  (Increase/7895) × 100

28/100 × 7895 = Increase     Multiplied each side by 7895/100

         Increase = 2211

[tex]\boxed{ 2211}[/tex] students were recorded in the MVCSD in 2018.

I think it’s 12 table I believe

ANSWER

The recursive formula is

[tex]a_n = a_ {n - 1}+ 4[/tex]

EXPLANATION

The given sequence is 12,16,20,24,28

The first term of this sequence is

[tex]a_1=12[/tex]

The common difference is

d=16-12

d=4

The recursive formula is given by

[tex]a_n = a_ {n - 1}+ d[/tex]

So we need to substitute the known values to get

[tex]a_n = a_ {n - 1}+ 4[/tex]

If you divide 22 by 11 you get two.

Your answer is 2.

Since 1 book cost $11, you divide $22 by 11 which would give you 2. So they can only purchase 2 books.

Answer:

322 Unpopular songs

Step-by-step explanation:

If Becky has 88 total popular songs, and she wrote a total of 410 songs, it is simply subtracting her popular songs from her total songs.

410 - 88 = 322

Answer:

I would go with a container of milk costs at least $1.25 but less than $1.50.

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

[tex]1.25<x<1.5[/tex]

The point value of a test item is strictly more than 1.25 points and strictly less than 1.5 points.

According to options:

It can be represented as :

The point value of a test item is more than 1.25 points and less than 1.5 points.

All other options except the above is not satisfying the above inequality.

Hence, Fourth option is correct.

Answer: 175

Step-by-step explanation: I hope this helps!!

Answer:

D

Step-by-step explanation:

ACD is a straight angle, thus

∠ACB + ∠BCD = 180. thus

∠ACB  131 = 180 ( subtract 131 from both sides )

∠ACB = 49° → D

If you left 3 blank and there's 4 options then a pretty big chance that you get it wrong....

Answer:

I made the problem in a photo so you could do it for the next

Answer:

How many pencils are in each person's desk?

Answer: B. 16

Step-by-step explanation:

y = 7(3) - 5

y = 21 - 5

y = 16

The value of y when x is 3 is 16.

Option B is correct.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the Equation: y= 7x -5

Now, put the value of x =3 in the given equation and solve for y we get

So, y = 7 (3)-5

y= 21 - 5

y = 16

so, the required value is 16.

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Answer:

(A) 0.08

Step-by-step explanation:

P(A) = 0.8

P(B) = 0.1

P(A and B)

= 0.8 x 0.1

= 0.08

A. 0.08 If A and B are independent, then the probability that A and B are multiplied?

Answer:

24/ -38

Step-by-step explanation:

We have to do the opposite of multiplication here, which is division.

If the product is 16/19 and a factor is -4/3 then : (16/19) / (-4/3)

Lets flip the switch, meaning change the symbol and flip the fraction: (16/19) * (3/-4)

Multiply   16 * 3 = 48

                19 * -4= -76

We now have the fraction 48/-76

When simplified it will be: 24/-38

Answer:

h = 10sin(π15t)+35

Step-by-step explanation:

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B represets the initial height of the blade above the ground.

A represents the amplitud of length of the blade.

x represents the period.

The initial height is 35 ft, therefore, B = 35ft.

The amplotud of lenth of the blade is 10ft, therefore A = 10.

The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π

Finally the equation that can be used to model h is:

h = 10sin(π15t)+35

Answer- C.) h = 10sin(π/15t)+35

Step-by-step explanation-

The equation should be equal expressed as C.) h = 10sin(π15t)+35 where 35 represents the initial height of the blade above the ground. The 15π represents the period. It is said that the blades complete two rotations every minute. Hence the period should be 60/4 equal to 15. 10 represents the amplitude of length of the blades.

Answer: 15•5= 75

Step-by-step explanation:

ANSWER

B.

[tex] < \: - 3, -2 \: > [/tex]

EXPLANATION

The given vectors are:

[tex]u = < \: - 3,5 \: > [/tex]

and

[tex]v= < \: 6, - 3\: > [/tex]

[tex] - u - v = - 1< \: - 3,5 \: > -1 < \: 6, - 3\: > [/tex]

Use the scalar to multiply and obtain;

[tex] - u - v = < \: 3, - 5 \: > + < \: - 6, 3\: > [/tex]

Simplify to get:

[tex]- u - v = < \: 3 - 6, - 5 + 3 \: > [/tex]

[tex]- u - v = < \: - 3, -2 \: > [/tex]

To find the component form of -u - v, subtract the x-components and y-components separately. The x-component is 3, and the y-component is -2.

The component form of -u - v can be found by subtracting the x-components and the y-components of u and v separately. Given that u=(-3,5) and v =(6,-3), the x-component of -u - v is -(-3) - 6 = -3 + 6 = 3, and the y-component is -(5) - (-3) = -5 + 3 = -2.

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Answer:

3a. horizontal shift to the left 4 units, reflection on the x-axis

3b. vertical shift down 5 units

4. 4[tex]\sqrt{3}[/tex]

5. 3x²y²[tex]\sqrt{2x}[/tex]

6. [tex]\frac{4\sqrt{35} }{5}[/tex]

7. [tex]\frac{45-5\sqrt{7} }{74}[/tex]

8. 3√2

9. -2√7 + 5√13

10. 7√2 + 2√14

11. 10 + √15 + 2√35 + √21

12. P = 18√6 + 6√15

Step-by-step explanation:

this is gonna be a bit long but bare with me

3a. y = [tex]-\sqrt{x+4}[/tex] < -- this is a horizontal shift to the left 4 units and a reflection on the x-axis. a horizontal shift is located next to the parent function (in this case f(x) = √x). a reflection on the x-axis is located outside of the parent function.

3b. y = [tex]\sqrt{x}[/tex] - 5 < --- this is a vertical shift down 5 units. a vertical shift is located outside of the parent function

4. [tex]\sqrt{48}[/tex] to solve a radicand, we can break it up into known factors, such as numbers that are a perfect square that are factors of the number. you can create a factor tree for this, or you can do it mentally by thinking of terms.

48 can be divided by divided by 16 and 3

16 is a perfect square of 4, which goes outside of the radicand

the answer to [tex]\sqrt{48}[/tex] is 4[tex]\sqrt{3}[/tex]

5. again, to solve [tex]\sqrt{18x^5y^4}[/tex], we break it down into known factors.

lets start with 18: it can be broken down into 9 and 2, 9 is a perfect square of 3

so far the radicand looks like this: 3[tex]\sqrt{2x^5y^4}[/tex]

next we will break down [tex]x^5[/tex]. looking at the exponent, we can see that we have a perfect square in the exponent, which is 4. the square root of 4 is 2. we would leave the leftover x in the radical as it is not a perfect square, and put x² on the outside as it is a result of the perfect square

3x²[tex]\sqrt{2xy^4}[/tex]

finally lets look at [tex]y^4[/tex]. we see that the exponent is a perfect square, 4. the square root of 4 is 2, so y² would go on the outside, and no y terms would be left on the inside. the final radical looks like this:

3x²y²[tex]\sqrt{2x}[/tex]

6. [tex]\frac{4\sqrt{7} }{\sqrt{5} }[/tex]

to solve this, we would need to rationalize the denominator by getting rid of the radical in the denominator. to do this we would multiply the expression by [tex]\sqrt{5}[/tex] and we would get:

[tex]\frac{4\sqrt{35} }{5}[/tex]

we cannot simplify this any further, so this would be our answer

7.  [tex]\frac{5}{9 + \sqrt{7} }[/tex] like the last question, we need to get rid of the square root in the denominator by multiplying the entire expression by [tex]9 - \sqrt{7}[/tex]. we get:

[tex]\frac{5(9-\sqrt{7}) }{(9+\sqrt{7})(9-\sqrt{7})  }[/tex]

the denominator can be multiplied together to get 81 - 7 = 74, and in the numerator we get 5(9-√7) which can be distributed as 45 - 5√7. in total we get:

[tex]\frac{45-5\sqrt{7} }{74}[/tex] this cannot be simplified any further, so this is the answer

8. 3√50 - 3√32 to solve, we need to get the same radical. to do this, we can break each radical up into known terms. √50 can be simplified as 25 and 2. 25 is a perfect square, and is equal to 5. √50 = 5√2

3(5√2) = 15√2

we can break up √32 as 16 and 2. 16 is a perfect square which is equal to 4. √32 = 4√2

-3(4√2) = -12√2

the expression looks like this: 15√2 - 12√2 < subtract normally and we get 3√2 <-- this is our final answer, and we cannot simplify further

9. 2√7 - 4√13 -4√7 + 9√13 < we can combine like terms by adding/subtracting

2√7 -4√7 = -2√7

-4√13 + 9√13 = 5√13

-2√7 + 5√13 this cannot be simplified further, so this is the answer

10. √7(√14 + 2√2) < distribute √7 into the expression

√7 × √14 = √98 = 7√2

√7 × 2√2 = 2√14

the answer is 7√2 + 2√14

11. (√5 + √7)(√20 + √3) < to solve, we can FOIL this out

(√5 + √7)(√20 + √3) = 10

(√5 + √7)(√20 + √3) = √15

(√5 + √7)(√20 + √3) = 2√35

(√5 + √7)(√20 + √3) = √21

we get the following expression: 10 + √15 + 2√35 + √21, we cannot simplify this further so this is our answer

12. the perimeter of a rectangle is P = 2l + 2w. we are given the width 3√6 + 4√15 and the length 6√6 - √15. plugged into the formula we have:

2(3√6 + 4√15) + 2(6√6 - √15) < distribute 2 into each expression:

(6√6 + 8√15) + (12√6 - 2√15) < combine like terms, as in combine terms with like radicals

6√6 + 12√6 = 18√6

8√15 - 2√15 = 6√15

P = 18√6 + 6√15

we cannot simplify this further, so this is the answer

hope this helped!

Answer:

d(A,B)=square root of 34 ≈ 5.831

Answer:

[tex]\sqrt{34}[/tex]

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 7)

d = [tex]\sqrt{(2+1)^2+(7-2)^2}[/tex]

  = [tex]\sqrt{3^2+5^2}[/tex]

  = [tex]\sqrt{9+25}[/tex] = [tex]\sqrt{34}[/tex] ← exact distance

Answer:

(1,1), (2,-1), (-2,1), (-1,-1)

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

the person that made the graph is correct so it would be C

3 x 8 = 24

8 x 3 = 24

24/3 = 8

24/8 = 3

A prime number is a number that has a factor of 1 and the number itself.

A factor is a number that we use to get the multiples of a number.

The facts for the fact family 3, 8, and 24 are:

3 and 8 multiplied can give 24.

8 and 24 is a multiple of prime numbers 2 and 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3, 8, and 24.

We see that,

3 and 8 multiplied can give 24.

3 x 8 = 24

8 and 24 is a multiple of prime numbers 2 and 3.

Prime numbers are those numbers that have a factor of 1 and the number itself.

2 x 4 = 8

2 x 12 = 24

3 x 8 = 24

2 and 3 are prime numbers.

Thus,

The facts for the fact family 3, 8, and 24 are:

3 and 8 multiplied can give 24.

8 and 24 is a multiple of prime numbers 2 and 3.

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Answer:

x = 8

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

9x +  12 = 22 + 7x + 6

9x +12 = 7x + 28

2x = 16

 x = 8

The value of x is 8 in the figure

Interior angles are inside a polygon, summing to 180°. Exterior angles are outside, forming a linear pair with interior angles.

Actually, in a triangle, the sum of two interior angles is always equal to the exterior angle that is not adjacent to them. This is known as the Exterior Angle Theorem.

From the figure

<F + <G = <GHV( sum of two interior angles is equal to exterior angle)

7x +6 + 22 = 9x + 12

7x - 9x = 12- 22 -6

-2x = -16

x = -16/-2

= 8

The value of x is 8 in the figure

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Answer:

197

Step-by-step explanation:

Add the number of voters of each precinct and divide by the number of precincts.

(168 + 240 + 195 + 180 + 312 + 87)/6 =

= 1182/6

= 197

(168+240+195+180+312+87)/6 =197

Answer

2(3)=6 + 2 = 8

The value of x will be;

⇒ x = 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

C = 3 and d = 2,

And, The equation is,

⇒ x = 2C + d

Here,

The values are,

⇒ C = 3 and d = 2,

Substitute above value in equation , we get;

⇒ x = 2C + d

⇒ x = 2 × 3 + 2

⇒ x = 6 + 2

⇒ x = 8

Thus, The value of x = 8.

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Step-by-step explanation:

[tex]10x^2-5x+11=9x^2+x+83\qquad\text{subtract}\ 9x^2\ \text{and}\ x\ \text{and}\ 83\\\\(10x^2-9x^2)+(-5x-x)+(11-83)=0\\\\x^2-6x-72=0\\\\x^2+6x-12x-72=0\\\\x(x+6)-12(x+6)=0\\\\(x+6)(x-12)=0[/tex]

[tex]\text{The zeros:}\\\\x+6=0\qquad\text{subtract 6 from both sides}\\\boxed{x=6}\\\\x-12=0\qquad\text{add 12 to both sides}\\\boxed{x=12}[/tex]

Answer:

i think its c

Step-by-step explanation:

cus u can multiply 3x or 3

Answer: 68.34.56

Step-by-step explanation:

Answer:

x=−2.1875y+ −3/ 8

Step-by-step explanation:

Y = 6

X = -.75 or - 3/4

Solve the bottom equation first, since it only has 1 variable. -8.5y / -8.5 = -51/-8.5. Y= 6. Then plug that value for Y into the top equation and solve for X.